March 2013 - Fractint - mailman.xmission.com

Fractint version 20.04 patch 12 released
by Jonathan Osuch 24 Feb '15

24 Feb '15

Folks, Fractint version 20.04 patch 12 was released today. The executables can be found at: www.fractint.net or www.fractint.org Here is what's new: Fixed buffer overflow in disk video mode when savename was too long. Jonathan

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FOTD 28-03-13 (Quadraquintic Brot [8.5])
by Jim Muth 28 Mar '13

28 Mar '13

FOTD -- March 28, 2013 (Rating 8.5) Fractal visionaries and enthusiasts: Today's long-awaited FOTD image rates a solid 8-1/2, most of which is due to the coloring. The striking colors were not a result of any artistic talent. They are a result of programmed randomness, though I did give myself a 1/2 point bonus for being the one who struck the <enter> key. The image shows a scene in a minor minibrot on the main stem of the grossly oversized parent Mandelbrot set. This minibrot is halfway through the process of morphing from quadratic to quintic, with today's scene located in debris on the degenerate northwest shore line of the minibrot's main bay. I named the image "Quadraquintic Brot" because the obviously quintic minibrot at the center is surrounded (beyond the frame edges) by purely quadratic stuff. The calculation time of 1-3/4 minutes will pass in a flash. To avoid being dazzled, I recommend visiting one of the web sites. If the finished image is not already posted to: <http://www.crosscanpuzzles.com/Archives.html> it soon will be. The high-definition versions are at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The back images may be checked at: <http://www.Nahee.com/FOTD/> A blustery mix of sun and clouds with a temperature of 48F +9C made today a disappointing one for those impatient for spring to arrive. The fractal cat was equally disappointed with the come-and-go sunshine on his shelf, and soon retired to my favorite chair. Meanwhile the humans continued working on the work room. The next FOTD will be posted when the work room work is finished, most likely in 24 hours. Until whenever, take care, and those who think fracking for natural gas and oil is harmful to the environment should calculate the number of square miles that would need to be covered with solar panels to supply an equal amount of energy. People should do the math before clamor- ing for solar energy! And monstrous wind turbines not only kill the birds that fly into them, they create subsonic pressure waves that are disorienting to both animals and humans within a half mile or so. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Quadraquintic_Brot { ; time=0:01:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MultiExp function=recip passes=1 center-mag=-83.71508047424459/+0.0075262435899841/\ 3.99368e+010/1/81.25/0. params=5/50 float=y maxiter=1500 inside=0 logmap=193 periodicity=6 colors=000LWpJTlHRhFPdEN`CLXAJT8HP7FL5DH3BD1990755\ 66967D68I68M69Q6AV6AZ6Bb6Cg6Ck6Do6Et3Bs6Es9HsCKsFM\ rIPrKSrNXrQ_qTaqWcqZeq_gq`hr_is_jtakuelvimwknxmoyp\ pxrjvvexzZuy`rxbowclveiufguhdtjcskhrmmqnrppvrvzpqz\ omzmhzldvj_riWmgRhfNcdIcf8ccEcaJcZPcWU`S_YObVKdSJY\ RHWQGVPFTOESMEQKEPIENGEREDPCCTACR8CQ7DO7FN7HN6IM6J\ M6KL5ML5OK5RK4UJ4XJ4_I3bI3eH3hH7iGAjFEkEHlDKmCOnBR\ oAVp9Yq8`r8bl8dg8ea8gX8iR8jM8lG8nB8s22o68lADhEJeIO\ aMUZQZVUdRVgSYiS_jTakTclUemUgnVipVkqWmrWosXqtXsuXu\ vWqpWnkWkfWhaWeXWbRW_MWXHWUCWR7YOEZMK_JR`HXaFcbCic\ Apd8vcBrbDnbGjaIfaLc`N__QW_SSZVOZXLQbMHgM5kL9lMDmM\ HnNKoNOoOSpOVqPZrPbrQesQitRmuRpuRktQftPatPYtOTtNOs\ NJsMFsLAsL5sz2sz1sz7nzCjzHezMazRzzWzz`zzezzjzzozzt\ zzyzzZzz8zz9zzAzzAzzBzzCzzCzzzzczzczzczzczzmzzmzzm\ zzmzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MultiExp { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=z*z*fn1(z^(a)+b)+c |z| < 100000000 } END PARAMETER FILE=========================================

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FOTD 28-03-13 (Quadraquintic Brot [8.5])
by Jim Muth 28 Mar '13

28 Mar '13

FOTD -- March 28, 2013 (Rating 8.5) Fractal visionaries and enthusiasts: Today's long-awaited FOTD image rates a solid 8-1/2, most of which is due to the coloring. The striking colors were not a result of any artistic talent. They are a result of programmed randomness, though I did give myself a 1/2 point bonus for being the one who struck the <enter> key. The image shows a scene in a minor minibrot on the main stem of the grossly oversized parent Mandelbrot set. This minibrot is halfway through the process of morphing from quadratic to quintic, with today's scene located in debris on the degenerate northwest shore line of the minibrot's main bay. I named the image "Quadraquintic Brot" because the obviously quintic minibrot at the center is surrounded (beyond the frame edges) by purely quadratic stuff. The calculation time of 1-3/4 minutes will pass in a flash. To avoid being dazzled, I recommend visiting one of the web sites. If the finished image is not already posted to: <http://www.crosscanpuzzles.com/Archives.html> it soon will be. The high-definition versions are at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The back images may be checked at: <http://www.Nahee.com/FOTD/> A blustery mix of sun and clouds with a temperature of 48F +9C made today a disappointing one for those impatient for spring to arrive. The fractal cat was equally disappointed with the come-and-go sunshine on his shelf, and soon retired to my favorite chair. Meanwhile the humans continued working on the work room. The next FOTD will be posted when the work room work is finished, most likely in 24 hours. Until whenever, take care, and those who think fracking for natural gas and oil is harmful to the environment should calculate the number of square miles that would need to be covered with solar panels to supply an equal amount of energy. People should do the math before clamor- ing for solar energy! And monstrous wind turbines not only kill the birds that fly into them, they create subsonic pressure waves that are disorienting to both animals and humans within a half mile or so. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Quadraquintic_Brot { ; time=0:01:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MultiExp function=recip passes=1 center-mag=-83.71508047424459/+0.0075262435899841/\ 3.99368e+010/1/81.25/0. params=5/50 float=y maxiter=1500 inside=0 logmap=193 periodicity=6 colors=000LWpJTlHRhFPdEN`CLXAJT8HP7FL5DH3BD1990755\ 66967D68I68M69Q6AV6AZ6Bb6Cg6Ck6Do6Et3Bs6Es9HsCKsFM\ rIPrKSrNXrQ_qTaqWcqZeq_gq`hr_is_jtakuelvimwknxmoyp\ pxrjvvexzZuy`rxbowclveiufguhdtjcskhrmmqnrppvrvzpqz\ omzmhzldvj_riWmgRhfNcdIcf8ccEcaJcZPcWU`S_YObVKdSJY\ RHWQGVPFTOESMEQKEPIENGEREDPCCTACR8CQ7DO7FN7HN6IM6J\ M6KL5ML5OK5RK4UJ4XJ4_I3bI3eH3hH7iGAjFEkEHlDKmCOnBR\ oAVp9Yq8`r8bl8dg8ea8gX8iR8jM8lG8nB8s22o68lADhEJeIO\ aMUZQZVUdRVgSYiS_jTakTclUemUgnVipVkqWmrWosXqtXsuXu\ vWqpWnkWkfWhaWeXWbRW_MWXHWUCWR7YOEZMK_JR`HXaFcbCic\ Apd8vcBrbDnbGjaIfaLc`N__QW_SSZVOZXLQbMHgM5kL9lMDmM\ HnNKoNOoOSpOVqPZrPbrQesQitRmuRpuRktQftPatPYtOTtNOs\ NJsMFsLAsL5sz2sz1sz7nzCjzHezMazRzzWzz`zzezzjzzozzt\ zzyzzZzz8zz9zzAzzAzzBzzCzzCzzzzczzczzczzczzmzzmzzm\ zzmzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MultiExp { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=z*z*fn1(z^(a)+b)+c |z| < 100000000 } END PARAMETER FILE=========================================

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FOTD 25-03-13 (The Missing Mandy [7.5])
by Jim Muth 25 Mar '13

25 Mar '13

FOTD -- March 25, 2013 (Rating 7.5) Fractal visionaries and enthusiasts: Today's image takes us on a trip into a higher dimension. The scene is in a valley of a sub-bud on the north shore of the main bud of the HyperMandelbrot set. The ill-defined thing at the center is a potential minibrot that has not yet fully formed but is well on the way. The name "The Missing Mandy" refers to the not quite fully formed minibrot at the center of the image. (To reveal the actual minibrot raise the maxiter to 2500 and change all parameters to zero.) The rating of 7-1/2 is boringly average. The calculation time of 2 minutes ia about average also. Due to technical computer difficulties there will be a delay of perhaps a day or two before the image is posted to the official web site at: <http://www.crosscanpuzzles.com/Archives.html> as soon as a computer problem is solved. It will be posted sooner at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> Back images are posted at: <http://www.Nahee.com/FOTD/> Light snow fell most all day here at Fractal Central today, but with a temperature of 36F +2C it melted as fast as it fell. The fractal cat passed the afternoon sleeping. The humans passed the day thinking of better days. The next FOTD will be posted in the proper time. Until then, take care, and when light battles darkness, the light always wins. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= The_Missing_Mandy { ; time=0:02:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 passes=1 float=y center-mag=-0.99327427717631/+0.250652899394853/\ 2130000/1/-32.5/0 params=0/0/0/0/0.75/0/1e-100/0 maxiter=850 inside=0 logmap=-441 periodicity=0 colors=00086S0KOmzN0KNzzM0KMzzL0KKzzK0KJzzJ0KIzzH0\ KHzzGEKGzzFCKEzzEBKDzzDAKCzzB9KBzzA8UAzz97U8zz87U7\ zz75c6zz54c5zz43c4mm32c2cc21c1cc1cc0babY_bUZbPScKL\ dFEeB7fCCdCGbCKaDP_DTYDXXEUZER_FO`FLaSK`dJ_qIZiOdb\ UjVZoOduHizLeiPaUSZEXM5eNEnOMwOUzG`d`bKucHreFofCmg\ Ajh8gj5ek3bl1`mIcfZe`ngVSOZ65aALYE`VKZZPXbUVe_UidS\ liQpnPsiNheMZ`LOXKETJ4XQB_WIcaOfhVjn`mtgpzmUpR8g59\ e89dAAcCAbEA`GB_IBZKBYMCWNCVNCUNDSODRODQOFNKGKHDID\ 9FA6D62A30800C60GB1JH2NM3RS0UXWjUzzSoqUeiWW`YLT_BK\ a1Cb2I`3OZ4UY5ZW6dV7jT7oS8bO9QKADGB0D7S`4sxIooWkgi\ gZvdRX_I8V9RM9hD9cIRZNhWQbUSYSVTQXOOZJQYIRXISWHTVH\ UUGVTGWTG_WIcYJf_KjaLmcMhaRd_V`ZZWXcSWgOUkKToNQpQO\ qSMqVKrXIr_GsaEscLodRkeXhfcdmiaznYzzV`nRTfOKZKCRH4\ GEUz9CoF7fK2YP1PQ1rQ1`Q1tQ1bQ1zQ1cQUzR0eRczR0gRmzR\ 0iRzzR1zX1za2zfczzmzzzzzzzzLzoTzmazjjzgrzenzckzbhz\ `ez_bzYZzXWzVTzUQzSlzcgzc } frm:HyperMandelbrot2 {; periodicity must be turned off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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FOTD 22-03-13 (Hyper Hi-Jinks [7.5])
by Jim Muth 23 Mar '13

23 Mar '13

FOTD -- March 22, 2013 (Rating 7.5) Fractal visionaries and enthusiasts: Today's image shows a hyper scene in Scepter Valley of the HyperMandelbrot set. I named it "Hyper Hi-Jinks" because that's what I see happening in the image. The rating of 7-1/2 is about average for these hyper images. Most of the features inside the outer circle consist of higher- dimensional stuff that lies in the HyperMandelbrot part of the Julibrot. To see the pure but under-resolved Mandelbrot scene with the minibrot undistorted change all the parameters to zero. I have ideas of what might be happening in these weird images created by the HyperMandelbrot2 formula, but as of today, it still doesn't add up. I still wonder whether it's some kind of mathematical quirk, but many of the things I find with the HyperMandelbrot2 formula are consistent with the overlapping images created by the hypercomplex formula hard coded in Fractint. Today's image calculates in 45 seconds, which leaves lots of time for other activities. And the web sites are always there with the finished image. Check the finished image at: <http://www.crosscanpuzzles.com/Archives.html> High-definition variations are at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The FOTD back images are at: <http://www.Nahee.com/FOTD/> Another un-springlike day passed unappreciated here at Fractal Central today. The mix of sun and clouds with snow flurries and a temperature of 37F +3C felt more like late December than early spring. The fractal cat, who seemed notably unconcerned with the weather, spent most of his time playing, eating and sleeping. The humans spent the day fighting a computer virus. We finally won. (We hope.) The next FOTD will be posted in two days, since we are taking a trip back to Old Fractal Central tomorrow. Until next time, take care, and all the world's problems could be solved if they would just listen to me. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Hyper_Hi-Jinks { ; time=0:00:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 center-mag=-1.250884071513/+0.022468556515/407144/\ 1/137.5/0 params=0/0/0/0/1.2/0/1e-075/0 float=y maxiter=1000 inside=255 logmap=201 periodicity=0 colors=000ZQX_RY`SZaT_bU`cVadWbeXcfYdgZeh_fi`gjahk\ bilcjmdkieeeg_ajUIcWYlOznMZpLZczZRJzUHZvGZzFZyEZAD\ QlN9Le17n5Ai8DeCFaFIYJKUMNQQPMTSIXUE_XAbZ6_b5Xf5Uj\ 4Xm4_p3bs3eu3hw2kz2nz1qz1um0zc8zU0zKJcBGK9DC7A9586\ 35312Y_dTVZPRULMPHIKCDFbZz_WzXTyUQsRNmOLhLIbIFXFDS\ CAM97G65B3258hWHaaCSS8JJ499T3oL2bE1Q70DqWGlTEhRDdO\ C`MBXJ9zzzzzzzzzzvmzrczlZzfUwbOqZLlVJfSHaOFWLDRHAL\ E8GA6A74532UVBSSAQQ9OO8MM8KK7II6GG5EE5CC4AA3882662\ 441220fc7c`6`Z6YW5WU5TR4QP4OM3LK3IH3GF2DC2AA187155\ 0220XRbUOZRMWOKTMIQJFMGDJDBGB9D869546223mLUgIQaGNX\ EKRBGM9DG7AB465232Ux10tcUp10l1Nh10dc0a1DYcAU0AQ09M\ m7J06Fz4B037013wS5kM4_G3OB2C51IomGciFceccaccYccUcz\ QmzNmzJmzFmzBzz7zz3zzQzzLzzHzzDLz8Az4SzGOzDKzBGz9C\ z68z44z2hzhazaWzWPzPJzJCzC6z6TzWQzTOzRMzPKzMIzKGzI\ EzGCzDAzB8z96z64z42z2izvbzmWzeQzXJzPDzG6z8xzBszAoz\ 9jz8fz7bz7Yz6Uz5Qz4Lz3Hz3 } frm:HyperMandelbrot2 {; periodicity must be turned off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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FOTD 21-03-13 (Tentacles [8])
by Jim Muth 21 Mar '13

21 Mar '13

FOTD -- March 21, 2013 (Rating 8) Fractal visionaries and enthusiasts: One of the more unusual things I have discovered while exploring the hyperMandelbrot set is the predominance of tentacles. Sometimes these tentacles have definite points of convergence; at other times they simply wander aimlessly or turn back on themselves. Today's image shows a nest of these tentacles, with the longer ones converging on a point and the shorter ones wandering aimlessly. There also appears to be something more solid hidden in the background of the image, but for the time at least, this hidden thing will remain unseen. The name of the image is not surprisingly "Tentacles". The rating of an 8 indicates that I consider the image to be one of the best of the past week or so. The calculation time of 3-3/4 minutes is slow however, but this problem may be remedied by checking the image on one of the web sites. The image has been calculated, and posted at: <http://www.crosscanpuzzles.com/Archives.html> A high-definition version is at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The back images are available at: <http://www.Nahee.com/FOTD/> With a temperature of 34F +1C, biting winds, dark scudding clouds, a few flakes of snow, and a sun that did nothing on the rare occasions when it appeared, today felt like a return to January here at Fractal Central. The fractal cat complained of too few bursts of sun and decided to exhaust his energy begging for an extra serving of turkey and cheddar. The humans had an average day, though FL is becoming impatient for gardening weather to arrive. The next FOTD will be posted soon. Until 'soon' arrives, take care, and I hear that the FOTD has gone viral! Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Tentacle_Madness { ; time=0:03:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=hypermandelbrot2 passes=t center-mag=-0.60303739/0/133.912 params=0/0.3/\ 1e-009/0/1.5/0/1e-045/0 float=y maxiter=10000 inside=0 logmap=66 symmetry=xaxis periodicity=0 colors=000R6HR6IR6IR6JR6KS6KS6LT6LT6MU6MU6NV6OW6OX\ 6PY6PZ6Q_6Q`5Ra5Sb5Sc5Td5Te5Uf5Vg5Vh5Wi5Wh5Xh5Xh5Y\ h5Zh5Zg5_g5_g5`g5ag5af5bf5bf5cf5cf5de5ee5ee5fe5fe5\ ge5ge6fe6fe6fe7fe7ee7ee8ee8ee8de8de9de9de9deAceAce\ AceBceBbeBbeBbeCbeCaeCaeDaeDaeDaeD`eE`eE`eE`eF_eF_\ eF_eG_eGZeGZeGZeHZeHZeHYeIYeIYeIYeIXeJXeJXeJXeKWeK\ WeKWeLWeLWeLVeLVeMVeMVeMUeNUeNUeNUfOWeNVeNVeNUeNUe\ NUeNTeNTeNTeNSeNSeNSeNReNReNReNQeMQeMQeMPeMPeMPeMO\ eMOeMOeMNeMNeMNeMMeMMeMLeMLeMLeLKeLKeLKeLJeLJeLJeL\ IeLIdLIdLHdLHdLHdLGdLGdLGdKFdKFdKFdKEdKEdKEdKDdKDd\ KCdKCdKCdKBdKBdKBdKAdKAdJAdJ9dJ9dJ9dJ8dJ8dJ8dJ7dJ7\ dJ7dJ6fVGgWGgWGhXGhYGiYGiZGjZGj_Gk`Gk`GlaGlbGmbGmc\ GndHmcGmbGlbFlaFk`Fk`Ej_EjZEiZDiYUhYUhXUgWUgWUgVUf\ UUfUUeTceScdScdRccRccQcbPcbPcaOmaNm`Nm`MmYPmZTm_Qm\ `MmaJzbFzcCzcCzcCzdBzdAzd9zj7zq7zp6zp6zp6zp6zp6zo6\ zo6zo6zo6zo6zn6zn6zn6zn6z } frm:HyperMandelbrot2 {; periodicity must be turned off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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FOTD 20-03-13 (Hyperbud [?])
by Jim Muth 21 Mar '13

21 Mar '13

FOTD -- March 20, 2013 (Rating ?) Fractal visionaries and enthusiasts: Today's image illustrates what I take to be a bud in the hypercomplex Mandelbrot set. But the bud is not perfect. The straight arms converging on the mouth of the bud show that the bud is not a critical one. In fact, I changed the starting point to 0,0.3,0.3,0 to see what other slices might look like. I doubt that the hypercomplex set has a single critical point. The hyperset is actually a four-dimensional hyperslice through the 8-D Julibrot. But enough of the bud shows through the converging arms to give an idea of the gothic-arch shape of the four-dimensional hypercomplex buds. I gave the image no rating since almost all its impact is in the mathematical aspect, and its color leaves much that could be improved. The name "Hyperbud" describes the scene. The calculation time of 4-3/4 minutes is rather slow. To avoid delay I recommend viewing the finished image on one of the web sites. Time may be saved by viewing the finished image at: <http://www.crosscanpuzzles.com/Archives.html> Higher definition versions are posted at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> Back images are at: <http://www.Nahee.com/FOTD/> Today here at Fractal Central featured a mix of clouds and sun with a few flurries of snow and a temperature of 39F +4C. The fractal cat slept through most of it, though he did come to life when tuna and cheddar appeared in his dish. The humans simply had a human day. The next FOTD will be posted soon. Until soon arrives, take care, and I heard on the midday news that if an asteroid were ever to be spotted coming our way, our govermnemt would be ready to take action. The action would be to tell everyone to start praying. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Hyperbud { ; time=0:04:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 passes=t center-mag=-0.49291912/+0.10220297/268/1/-2.5/0 params=0/0.3/0.3/0/1.5/0/1e-045/0 float=y maxiter=12000 inside=0 logmap=67 periodicity=0 colors=000R6HR6IR6IR6JR6KS6KS6LT6LT6MU6MU6NV6OW6OX\ 6PY6PZ6Q_6Q`5Ra5Sb5Sc5Td5Te5Uf5Vg5Vh5Wi5Wh5Xh5Xh5Y\ h5Zh5Zg5_g5_g5`g5ag5af5bf5bf5cf5cf5de5ee5ee5fe5fe5\ ge5ge6fe6fe6fe7fe7ee7ee8ee8ee8de8de9de9de9deAceAce\ AceBceBbeBbeBbeCbeCaeCaeDaeDaeDaeD`eE`eE`eE`eF_eF_\ eF_eG_eGZeGZeGZeHZeHZeHYeIYeIYeIYeIXeJXeJXeJXeKWeK\ WeKWeLWeLWeLVeLVeMVeMVeMUeNUeNUeNUfOWeNVeNVeNUeNUe\ NUeNTeNTeNTeNSeNSeNSeNReNReNReNQeMQeMQeMPeMPeMPeMO\ eMOeMOeMNeMNeMNeMMeMMeMLeMLeMLeLKeLKeLKeLJeLJeLJeL\ IeLIdLIdLHdLHdLHdLGdLGdLGdKFdKFdKFdKEdKEdKEdKDdKDd\ KCdKCdKCdKBdKBdKBdKAdKAdJAdJ9dJ9dJ9dJ8dJ8dJ8dJ7dJ7\ dJ7dJ6fVGgWGgWGhXGhYGiYGiZGjZGj_Gk`Gk`GlaGlbGmbGmc\ GndHmcGmbGlbFlaFk`Fk`Ej_EjZEiZDiYUhYUhXUgWUgWUgVUf\ UUfUUeTceScdScdRccRccQcbPcbPcaOmaNm`Nm`MmYPmZTm_Qm\ `MmaJzbFzcCzcCzcCzdBzdAzd9zj7zq7zp6zp6zp6zp6zp6zo6\ zo6zo6zo6zo6zn6zn6zn6zn6z } frm:HyperMandelbrot2 {; periodicity must be turned off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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FOTD 19-03-13 (Hyper-Minibrots [7])
by Jim Muth 19 Mar '13

19 Mar '13

FOTD -- March 19, 2013 (Rating 7) Fractal visionaries and enthusiasts: Today's image shows what I take to be parts of minibrots in an East Valley section of the Hypermandelbrot set. Since the HyperMandelbrot set is four-dimensional, its minibrots must be four-dimensional also, which means it will never be possible to show all of one on a flat two-dimensional screen. The name "Hyper-Minibrot" simply describes the image. The rating of a 7 indicates that I did too little work on the colors. The calculation time of 1-1/4 minutes will pass quickly enough considering that a 2-D slice of an 8-D object is being calculated. But calculation may be avoided entirely by checking the web sites. Check the finished image at: <http://www.crosscanpuzzles.com/Archives.html> and the high-definition version at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The back images are at: <http://www.Nahee.com/FOTD/> Yesterday's snow made a quick exit from the Fractal Central area today when the temperature reached 48F +9C under partly cloudy skies. The fractal cat, now in the senior cat category, passed the afternoon sleeping on top of his tall bookcase, while the humans finished the work. The next FOTD will be posted in 24 hours. Until then, take care, and have a good day. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Hyper-Minibrots { ; time=0:01:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 center-mag=-0.6555077\ 854/0/39173.06 params=0/0.3/0.3/0/1.5/0/1e-045/0 float=y maxiter=5000 inside=0 logmap=181 symmetry=xaxis periodicity=0 colors=000m_am``l``k`_k`_j`ZiaZiaYhaYgaXgaXfbWebWe\ bVdbVcbUcbUbcTbcTacS`cS`cR_dRZdQZdQYdPXdPXeOWeOVeN\ VeNUeMUeMTcLTbLT`LT_KTYKTXKTVKTUJTTJSRJSQJSOISNISL\ ISKISIHSHHSGHREHRDGRBGRAGR8GR7FR5FR4FR3FS4GT5HT6IU\ 7IU7JV8KW9LWALXBMXBNYCOYDOZEP_FQ_FR`GR`HSaITaITeJS\ hLSkMSjKTjITiGUiFUiDUhBVh9Vh8VfAUeBTdCSbERaFQ`GP_H\ P`IQaIRbISbJTcJUdJUdKVeKWfKXfLYgLYhLZhM_iM`jMahMah\ K_gJZeIYdHXbGVaFU_FTZGSXHRWIPUJOTKNRKMQKLRKESK7TK0\ VK2WK4YM6ZO8`Q9aSBcUDcUFcUHcUIcUEcUBcU7cR4cQ1cP2cO\ 3cO3cN4dM5cM5aL6`L6_K7YJ8XJ8VI9UHASHARGBQGBKC6F92E\ D7EGCDJHDMLDPQCSVCV_CYcB`hBcmBfqAij8ld7oYjZcj`djbd\ jcdjeejgejieligjjeijcgjafj`dkZckXbkc`kc_kcYlcXlmVl\ mUlmTlmRmwQmwOmwNmwMmzNkzOizOhzPfzPezQczQbzR`zR_zS\ YzTWzTVzUTzUSzVQzVPzWNzWMzVLzVLzUKzUKzTKzTJzSJzSIz\ SIzRIzRHzQHzQGzPGzPGzPFzOFzOEzNEzNEzMDzMDzDLzMDzV3\ zU5zU7zT8zTAzTCzSDzCaz9Zz } frm:HyperMandelbrot2 {; periodicity must be turned off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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FOTD 18-03-13 (8-Dimensional Landscape [7.5])
by Jim Muth 18 Mar '13

18 Mar '13

FOTD -- March 18, 2013 (Rating 7.5) Fractal visionaries and enthusiasts: Today's image is a scene in the eastern part of the main bud of the HyperMandelbrot set, just west of Seahorse Valley. I posted it as a FOTD because of its interesting repeating patterns, which almost but not quite repeat identically. The image rates a 7.5 and would have rated higher if similar near-repeating patterns were not so plentiful in the classic Mandelbrot set. The name "8-Dimensional Landscape" indicates that the image is a slice of the 4-dimensional HyperMandelbrot set, which itself is a 4-D slice through the center of the 8-D HyperJulibrot figure. I am beginning to make some sense of these hyper images, but I still have a long way to go before everything adds up. The calculation time of 2-1/4 minutes borders on slowness. The web sites can bring relief however. Time may be saved by viewing the finished image on the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> High definition variations are posted at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> And back images are online at: <http://www.Nahee.com/FOTD/> Today brought thick clouds then heavy snow to Fractal Central, while the temperature hovered just at freezing. As of post time, about 2 inches (5cm) had piled up. The fractal cat took a quick glance out the shelf window, then settled to sleep. The humans spent the day getting the routine things done. The next FOTD will be posted in a reasonable time. Until reason prevails, take care, and take time to think things out. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= 8-Dimens_Landscape { ; time=0:02:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 passes=1 float=y center-mag=-0.7978139292256579/-0.016458707578773\ 58/2177/1/-157.5/0 params=0/0/0/0/0.5/0/1e-018/0 maxiter=750 inside=0 logmap=-358 periodicity=0 colors=000UYWOQcMO`LNYKMWJLTIKRHJOGIMCXG8kB4z62tN1\ ob3qc5rd6te8uf9wgBxhCyhFxZHxPJxFLqDNjBPc9QX7SQ5UJ3\ VC2OI8INECSK6XQUYXpZbkafgdjcgmZjqVmuRoxXhsbaogVjmO\ fsHaxAYqH`kNbeTe__gUejOglTinYgg_caU`iNbpG`wIZpKUiM\ QcOLXQHRSCKT8EUDDVICWNBXRAYW9Z`8_d7`eD`eJaePaeVbe`\ befcblaaqZbjUadP_ZLYTGWNBUH6SB2Q5I`6Yj6mt6ghDaXKWL\ RR9XZCVeFTlIRsLPmRSgXVabYWg_VQVV8R_C_cFghIplLxpFqr\ Ajp5dm6Tj7HcBDZF7TL7OT8PX9Q`ARaASXBSKCNFBI9AJ4AJ8A\ L9ANAAPBARCATDAVEAXFFYFL_FN`FPaFRbLTcQVdWXe`ZadWfg\ _kkcpoguokznnvkktfhrZepSboOanL_nOVoRUoULeUUXObNIkI\ GoEDsFJnFOiFTdFY`FdWFiREoQFjNGbLHTJIJHI9FLFEOKERQE\ UVEX`E_eEXr2ajEkbUecQ`cNWcKQcHLcEGcBBc8H`7MZ7SX7XU\ 6bS6gQ6fR8eSAdSCcTEhWHbTFXRDSOCMMAHJ9BH76F6KJ5XN4j\ R3wV2oS6hPAaMEVJINGMGDQ9AU27Y8HXERXK`WQjWUrRVsWVt_\ VudWvhWwmWxqWyu_vvcsvfqvjnvnkvqivpewpaxpYxpUypQzpN\ zmQtjTohWjeZeHnJca`jHOyPr } frm:HyperMandelbrot2 {; periodicity must be turned off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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FOTD 17-03-13 (Green for the Day [7.5])
by Jim Muth 18 Mar '13

18 Mar '13

FOTD -- March 17, 2013 (Rating 7.5) Fractal visionaries and enthusiasts: Today is Saint Patrick's Day here at Fractal Central, and over the rest of the world as well. In honor of the occasion, I added a touch of green to today's image, which shows a partially eroded minibrot on the northwest shore line of the main bay of the HyperMandelbrot set, which lies in an 8-dimensional Julibrot that I have no intention of getting into. Change the real(p3) or real(p4) (or both) parameters to zero and see the minibrot before it was eroded. Surprisingly, the maxiter is now far too low to show the uneroded minibrot, which indicates that everything within the outer circle of the image is new stuff existing only in the higher-dimensional part of the Julibrot. The rating of 7-1/2 includes a bonus for honoring the day. The name "Green for the Day" acknowledges that it is a special day for the Irish. The calculation time of 6-1/4 minutes is slow. Luckily, the web sites can relieve fractal slowness. The finished image is posted online at: <http://www.crosscanpuzzles.com/Archives.html> with hi-def versions at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The FOTD back images are at: <http://www.Nahee.com/FOTD/> Cloudy skies and a temperature of 39F +4C made the outdoors rather unpleasant here at Fractal Central today. The fractal cat and fractal humans had a typical uneventful day indoors. The next FOTD will be posted in the proper time frame. Until whenever that is, take care, and be of sound mind and body, but don't let the mind and body get too noisy. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Green_for_the_Day { ; time=0:06:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 center-mag=-0.7329867\ 340546847/+0.2212534245722819/3.30344e+010/1/168.7\ /0 params=0/0/0/0/0.13/0/1e-070/0 float=y maxiter=2450 inside=0 logmap=-1916 periodicity=0 colors=00005A05A05A05A05A05A25A35A55A65A85A95AB5AD\ 5AE5AG5AH5AJ5AK5AJ5AI5AI5AH5AG5AG5AF5AE5AE5AE5AE5A\ F5BG6CH6DI7EK7FM7GN7HP7IR7JT7KV7LW8MW8NW9OV9PTAQSA\ RRASPATOAUNAVLAWKAXIAYIAZIA_HA`HAaHAbGAcGBdFCeFDfF\ EfDFgCGhBFh9Kc8P_7UW6YS5bO4gK1mH3kG5jG7iF9gFBfFDeE\ FdEHbDJaDL`DN_COYCQXBSWBUVBWTAYSA_R9aQ9cO9eN8gM8hL\ 8uaft_etZesYesXerVerUerTeqSeqRdpPdpOdpNdoMdoLdnJdn\ IdmHcmGcmFclDclCckBckAcj7hk9clAZmCVmDQnFMoGHoHDpKE\ pMFpOFpQGqTGqVHqXIqZIr_Jr`JraKrbLscLseMsgMsiNtkOtm\ OtoPtpPsqQsrRrsSrtSquTqvUpwVpxVpycozmozrnzvnzzmzzm\ zzmzzjzzgzzdzzK3OI8KGDHEIDDNAHNBLOCPODSYEUgGVcHWhJ\ YmKZrM_vNazPxzpsnqnhqiardWr_PsVJszzsOzVzzaEzg9an4Y\ tJdmYkflr_zyUxpQwhNu_KtSHrJEqBBp38uK7y_7ZrbXj_VcXT\ WUSPRQHOOALN3ILAFKHDIOBHU9G`7Eg5Dn3Ct1Iq0No0Sl0k_G\ lRHlIIm9Jm1KoGUpVcrimsxvHmvccecpQcyAcc7coKccXcmizm\ uzztzzszzrzzrzzpzznzzlzzF } frm:HyperMandelbrot2 {; periodicity must be turned off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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